Best Known (11−9, 11, s)-Nets in Base 16
(11−9, 11, 33)-Net over F16 — Constructive and digital
Digital (2, 11, 33)-net over F16, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
(11−9, 11, 149)-Net in Base 16 — Upper bound on s
There is no (2, 11, 150)-net in base 16, because
- 1 times m-reduction [i] would yield (2, 10, 150)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 1 118871 504001 > 1610 [i]